Some extensions of AGI-rings

Abstract

S. Sharmila and S. Hegde defined in [9] a ring to be AGI-ring if
each of its elements can be written as a sum of a finite number of idempotents.
This paper aims at the study of the notion of AGI-ring in various context of
commutative rings such as direct product, homomorphic image, trivial ring
extensions, amalgamations, bi-amalgamations and pullbacks. Our results generate
new original classes of rings satisfying this property.